On permutation groups with finite parameters of dispersion
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 5 (2012) no. 1, pp. 116-121
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We study the permutation group $G$ of set natural numbers $N$ with finite parameters of dispersion. We give proof, that every finite subset of $G$ lies in a subgroup $Q=AB$, where $A,B$ are a local finite approximated subgroups of $G$.
Mots-clés :
group, permutation
Keywords: parameter of dispersion.
Keywords: parameter of dispersion.
@article{JSFU_2012_5_1_a12,
author = {Nikolai M. Suchkov and Andrey A. Mankov and Yury S. Tarasov},
title = {On permutation groups with finite parameters of dispersion},
journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
pages = {116--121},
publisher = {mathdoc},
volume = {5},
number = {1},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JSFU_2012_5_1_a12/}
}
TY - JOUR AU - Nikolai M. Suchkov AU - Andrey A. Mankov AU - Yury S. Tarasov TI - On permutation groups with finite parameters of dispersion JO - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika PY - 2012 SP - 116 EP - 121 VL - 5 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JSFU_2012_5_1_a12/ LA - ru ID - JSFU_2012_5_1_a12 ER -
%0 Journal Article %A Nikolai M. Suchkov %A Andrey A. Mankov %A Yury S. Tarasov %T On permutation groups with finite parameters of dispersion %J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika %D 2012 %P 116-121 %V 5 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/JSFU_2012_5_1_a12/ %G ru %F JSFU_2012_5_1_a12
Nikolai M. Suchkov; Andrey A. Mankov; Yury S. Tarasov. On permutation groups with finite parameters of dispersion. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 5 (2012) no. 1, pp. 116-121. http://geodesic.mathdoc.fr/item/JSFU_2012_5_1_a12/